Algebraic encoding scheme for aperture 3 hexagonal discrete global grid system

doi:10.1007/s11430-017-9111-y

IGSNRR OpenIR

	Algebraic encoding scheme for aperture 3 hexagonal discrete global grid system
	Ben Jin 1,2; Li YaLu 1,3; Zhou ChengHu2 ; Wang Rui1 ; Du LingYu 1
	2018-02-01
Source Publication	SCIENCE CHINA-EARTH SCIENCES
ISSN	1674-7313
Volume	61 Issue:2 Pages:215-227
Corresponding Author	Ben Jin(benj@lreis.ac.cn) ; Li YaLu(li.yalu@foxmail.com)
Abstract	Discrete Global Grid Systems (DGGSs) are spatial references that use a hierarchical tessellation of cells to partition and address the entire globe. They provide an organizational structure that permits fast integration between multiple sources of large and variable geospatial data sufficient for visualization and analysis. Despite a significant body of research supporting hexagonal DGGSs as the superior choice, the application thereof has been hindered owing in part to the lack of a rational hierarchy with an efficient addressing system. This paper presents an algebraic model of encoding scheme for the Aperture 3 Hexagonal (A3H) DGGS. Firstly, the definition of a grid cell, which is composed of vertices, edges, and a center, is introduced to describe fundamental elements of grids. Secondly, by identifying the grid cell with its center, this paper proves that cell centers at different levels can be represented exactly using a mixed positional number system in the complex plane through the recursive geometric relationship between two successive levels, which reveals that grid cells are essentially special complex radix numbers. Thirdly, it is shown that through the recursive geometric relationship of successive odd or even levels, the mixed positional number system can also be applied to uniquely represent cell centers at different levels under specific constraint conditions, according to which the encoding scheme is designed. Finally, it is shown that by extending the scheme to 20 triangular faces of the regular icosahedron, multi-resolution grids on closed surfaces of the icosahedron are addressed perfectly. Contrast experiments show that the proposed encoding scheme has the advantages of theoretical rigor and high programming efficiency and that the efficiency of cross-face adjacent cell searching is 242.9 times that of a similar scheme. Moreover, the proposed complex radix number representation is an ideal formalized description tool for grid systems. The research ideas introduced herein can be used to create a universal theoretical framework for DGGSs.
Keyword	Discrete Global Grid System Hexagon Positional number system Algebraic encoding
DOI	10.1007/s11430-017-9111-y
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[41671410] ; Postdoctoral Science Foundation of China[2013T60161] ; Excellent Young Scholar Foundation of Information Engineering University[2016610802]
Funding Organization	National Natural Science Foundation of China ; Postdoctoral Science Foundation of China ; Excellent Young Scholar Foundation of Information Engineering University
WOS Research Area	Geology
WOS Subject	Geosciences, Multidisciplinary
WOS ID	WOS:000424032300008
Publisher	SCIENCE PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.igsnrr.ac.cn/handle/311030/56959
Collection	中国科学院地理科学与资源研究所
Corresponding Author	Ben Jin; Li YaLu
Affiliation	1.Informat Engn Univ, Inst Surveying & Mapping, Zhengzhou 450001, Henan, Peoples R China 2.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, State Key Lab Resources & Environm Informat Syst, Beijing 100101, Peoples R China 3.China Univ Min & Technol Beijing, Coll Earth Sci & Surveying Engn, Beijing 100083, Peoples R China
Recommended Citation GB/T 7714	Ben Jin,Li YaLu,Zhou ChengHu,et al. Algebraic encoding scheme for aperture 3 hexagonal discrete global grid system[J]. SCIENCE CHINA-EARTH SCIENCES,2018,61(2):215-227.
APA	Ben Jin,Li YaLu,Zhou ChengHu,Wang Rui,&Du LingYu.(2018).Algebraic encoding scheme for aperture 3 hexagonal discrete global grid system.SCIENCE CHINA-EARTH SCIENCES,61(2),215-227.
MLA	Ben Jin,et al."Algebraic encoding scheme for aperture 3 hexagonal discrete global grid system".SCIENCE CHINA-EARTH SCIENCES 61.2(2018):215-227.

Files in This Item:
There are no files associated with this item.

If you have any objections to this item, please fill out the form below and the administrator will contact you as soon as possible.
Content:
Email：	*
Institution:
Verification Code:	Refresh

Any comments and suggestions are welcomed.
Title:	*
Content:
Email：	*
Verification Code:	Refresh

中国科学院地理科学与资源研究所机构知识库